Board Thread:General Discussion/@comment-30675283-20161204190313/@comment-27248965-20161205013619

EV is gained when EXP is acquired, so EXP Share does share EVs with the whole party. Either you turn off the EXP Share and switch in the Pokemon you need for training during battles, or you bring along a whole team of Pokemon that can use the same kind of EVs, such as bringing a team that uses Physical Attack EVs when battling Rising Star Darren on Route 11.